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• W2896438502 abstract "In the paper we solve the limit problem for partial maxima of m-dependent stationary random fields and we extend the obtained solution to fields satisfying some local mixing conditions. New methods for describing the limitting distribution of maxima are proposed. A notion of a phantom distribution function for a random field is investigated. As an application, several original formulas for calculation of the extremal index are provided. Moving maxima and moving averages as well as Gaussian fields satisfying the Berman condition are considered." @default.
• W2896438502 created "2018-10-26" @default.
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• W2896438502 date "2018-10-08" @default.
• W2896438502 modified "2023-09-26" @default.
• W2896438502 title "Managing local dependencies in asymptotic theory for maxima of stationary random fields" @default.
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• W2896438502 doi "https://doi.org/10.1007/s10687-018-0336-6" @default.
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